(q+a)

You have 3q and you need to find a value for a so that

3q = 2aq

3 = 2a

3/2 = a

So,

(q + 3/2)

_____

This is called "completing the square". It is the basis of a recognized method of solving a quadratic equation, and is the basis of the quadratic formula.

^{2}= q^{2}+ 2aq + a^{2}^{}You have 3q and you need to find a value for a so that

3q = 2aq

3 = 2a

3/2 = a

So,

(q + 3/2)

^{2}= q^{2}+ 3q + 9/4_____

This is called "completing the square". It is the basis of a recognized method of solving a quadratic equation, and is the basis of the quadratic formula.